The equation
is
a parabola with a vertex at (h,k) and which passes
through the points (h+1,k+a) and (h-1,k+a), and its
axis of symmetry is the vertical line whose equation
is
So in the problem:
, ,
[Notice that the sign is changed for h but kept for k]
So the vertex is (h,k) or (-6,3),
The parabola passes through (h-1,k+a) and (h+1,k+a), or
(-6-1,3+) or (-7,) and
(-6+1,3+) or (-5,)
Its axis of symmetry is the vertical line whose equation
is or
We plot the vertex (-6,3)
We draw the axis of symmetry which is a vertical line
through the vertex (the green line below:
Then we plot the two points,
one on each side of the vertex
(-7,) and (-5,)
Finally we sketch in the parabola:
Edwin